Limacon函数解析表征的q-类似研究

IF 0.9 4区数学 Q1 Mathematics

Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI:10.18514/mmn.2023.3850

K. Jabeen, A. Saliu

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引用次数: 1

摘要

．近年来，与q微积分相关的Ma和Minda类函数的研究越来越多。新的，关于函数的极限，关于函数的星形极限和凸极限的分类在文献中被提出和研究。因此，本文旨在给出函数极限的q -类似，并利用它来建立与量子微积分相关的星状极限和凸极限函数的类。为此，研究了这些函数的几何特征。此外，还对这些新类的半径、隶属关系等相关结果进行了验证。总之，我们的调查的一些结果也说明了。

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A Study of q-analogue of the analytic characterization of Limacon functions

. The investigation of Ma and Minda classes of functions associated with q -calculus has been on increase in recent times. Newly, limac¸on functions, the classes of starlike and convex limac¸on functions were initiated and investigated in the literature. As a result, the present article is aimed to present the q -analogue of the limac¸on functions and utilize it to establish the classes of starlike and convex limac¸on functions that are correlated with quantum calculus. To this end, the geometric characterization of these functions is examined. Moreover, radius, subordination and some other related results with these novel classes are verified. Overall, some consequences of our investigations are also illustrated.

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来源期刊

Miskolc Mathematical Notes Mathematics-Algebra and Number Theory

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.